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Simplified analysis of PWM converters using model of PWM switch. II. Discontinuous conduction mode

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1 Author(s)
Vorperian, V. ; Dept. of Electr. Eng., Virginia Polytech. Inst. & State Univ., Blacksburg, VA, USA

For pt.I see ibid., vol.26, no.3, p.490-6 (1990). According to the method of state-space averaging, when a pulsewidth modulation (PWM) converter enters discontinuous conduction mode (DCM), the inductor current state is lost from the average model of the converter. It is shown that there is neither theoretical nor experimental justification for the disappearance of the inductor state as claimed by the method of state-space averaging. For example, when the model of the PWM switch in DCM is substituted in the buck, boost, or buck-boost converter while the inductor is left intact, the average model has two poles: the first pole fp1 agrees with the single pole of state-space averaging, while the second pole fp2 occurs in the range fp2Fs/π. It is shown that the right-half plane zeros present in the control-to-output transfer functions of the boost, buck-boost, and Cuk converters in continuous conduction mode are also present in discontinuous conduction mode

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Aerospace and Electronic Systems, IEEE Transactions on  (Volume:26 ,  Issue: 3 )